Repellers

Inspired by Lorenz’ remarkable chaotic ﬂow, we describe in this paper the structure of all C 1 robust transitive sets with singularities for ﬂows on closed 3-manifolds: they are partially hyperbolic with volume-expanding central direction, and are either attractors or repellers. In particular, any C 1 robust attractor with singularities for ﬂows on closed 3-manifolds always has an invariant foliation whose leaves are forward contracted by the ﬂow, and has positive Lyapunov exponent at every orbit, showing that any C 1 robust attractor resembles a geometric Lorenz attractor. ...

Bowen’s formula relates the Hausdorﬀ dimension of a conformal repeller to the zero of a ‘pressure’ function. We present an elementary, self-contained proof to show that Bowen’s formula holds for C 1 conformal repellers. We consider time-dependent conformal repellers obtained as invariant subsets for sequences of conformally expanding maps within a suitable class.

Learn to read body language , synchronize behavior àd make warm, meaningful connections. For all occasions , business , social and personal . The trouble that the vast masses of humanity have with this is that they run smack into their own selfishness. Because of their own self-fixation, they end up repelling the very people they want to like them. Sometimes that selfishness comes out in down right rudeness. But more often it is more a case that they bore people to death.

Lisp has been hailed as the most powerful programming languages ​​in the world, but its cryptic syntax and academic reputation may be enough to repel even programmers with experience. The last dark days on the soil of Lisp brings the power of functional programming for the people!

Magnets are pieces of metal that have the ability to attract other metals. Every magnet has two poles: a north and a south. Much like electrical charges, two similar magnetic poles repel each other; while opposite magnetic poles attract each other. Magnets have a continuous force around them that is known as a magnetic field. This field enables them to attract other metals. Figure 1 illustrates this force using bar and horseshoe magnets.

¾ With the modern knowledge about the structure of matter
we know that electric charges come from elementary
particles: negatively charged electron and positively charged
proton. In nuclei there are also neutron with no charge.
Interaction between charges: two positive charges or two
negative charges repel each other. A positive charge and a
negative charge attract each other. This interaction is called the
static electric interaction.

Phenolic compounds represent a large group of molecules with a variety
of functions in plant growth, development, and defense. Phenolic
compounds include signaling molecules, pigments and flavors that can
attract or repel, as well as compounds that can protect the plant against
insects, fungi, bacteria, and viruses. Most phenolic compounds are present
as esters or glycosides rather than as free compounds. Tannins and lignin are
phenolic polymers.

P A R T V I I
Quality of Life
Urban areas both attract and repel people. Cities offer high-paying jobs, parks, museums, nightlife, and a seemingly inﬁnite variety of consumer goods. They also offer crime, pollution, noise, difﬁcult commutes, crowds, a reduced sense of community

Although magnetism has been known since ancient times, the connection between electricity and magnetism was not discovered until the early 19th century. Electromagnetics is the study of electric and magnetic ﬁeld behavior. These ﬁelds arise from charged particles both at rest and in motion, and they may exert forces on other charged particles and materials. Hans Christian Oersted (a Danish scientist) demonstrated the relation between electricity and magnetism. In 1819, he showed that a compass needle could be deﬂected by a current-carrying conductor.

Pesticides are divided to insecticides, fungicides, herbicides, rodenticides, acaricides
and nematocides according to the organisms that they affect. There are various forms
of insecticides; most are repellants or insect growth regulators used in agriculture,
public health, horticulture or food storage. It is evident that insecticides have been
used to boost food production to a considerable extent and to control disease vectors.

You don't want to repel readers. This doesn't mean you have to flatter them or avoid saying something they may disagree with. It does mean you must respect them. Don't take their interest for granted or suppose that it is the readers' job to follow you.

Introduction:
Nowadays, p-dichlorobenzene (paradichlorobenzene, 1,4-dichlorobenzene) is becoming more popular than naphthalene as a moth repellant (insecticide) worldwide. The discrimination between p-dichlorobenzene and naphthalene is usually difficult only by their smells and their appearances. However, specific gravities of their crystals are different; they are 1.152 and 1.5 for naphthalene and p-dichlorobenzene, respectively.

Introduction:
Naphthalene (naphthalin) is being widely used as a moth repellant (insecticide), and being sold at supermarkets and general stores. Since one package of the compound usually contains as much as 1.8–5 g of naphthalene, the accidental ingestion of such a product by a small infant may cause fatality. However, recently, p-dichlorobenzene products, to be dealt with in the next chapter, have become more popular as a moth repellant.

But with other POPs the transition to safer alternatives will require more effort.
Alternatives may be more expensive and their manufacture and use more complicated. That
could put developing countries in an awkward spot – struggling from day to day, the world's
poor tend to use what they can afford and what is available. So it is not enough for the
Convention simply to say No to its target list of POPs: It must also help governments find a
way to say Yes to replacement solutions.
Take the case of DDT.

For decades, the majority of ophthalmologists have been embarrassed by and highly
suspicious of refractive surgery, at times with good justification. They have been repelled
by its tactics in patient recruitment, uneasy about its seemingly cavalier use without longterm
data, eager to defend its unsuspecting victims, and deeply concerned that its shortterm
benefits are outweighed by its burdensome long-term consequences.

Annals of Mathematics
In this paper we will solve one of the central problems in dynamical systems: Theorem 1 (Density of hyperbolicity for real polynomials). Any real polynomial can be approximated by hyperbolic real polynomials of the same degree. Here we say that a real polynomial is hyperbolic or Axiom A, if the real line is the union of a repelling hyperbolic set, the basin of hyperbolic attracting periodic points and the basin of inﬁnity.

Or consider what our great grandfathers thought about the mountains,
which we now consider so scenic.
4
They were 'monstrous excrescences of
nature'.
5
God originally made the world a smooth sphere happily habitable
for the original humans; but, alas, humans sinned, and the earth was warped
in punishment. Thomas Burnet is repelled by these 'ruines of a broken World',
'wild, vast and indigested heaps of Stones and Earth' that resulted when 'con-
fusion came into Nature'.
6
John Donne called them 'warts, and pock-holes in
the face of th'earth'.
7
Now we know better.